A FORCING NOTION COLLAPSING $\aleph _3 $ AND PRESERVING ALL OTHER CARDINALS

DOI10.1017/JSL.2018.20zbMath1477.03219OpenAlexW2906165749MaRDI QIDQ4647113

David Asperó

Publication date: 4 January 2019

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/jsl.2018.20

zbMATH Keywords

Bamgartner clubscollapsing \(\aleph_{3}\)partial square sequencestwo-type chains of models

Mathematics Subject Classification ID

Other aspects of forcing and Boolean-valued models (03E40)

Related Items (2)

Measurable cardinals and choiceless axioms ⋮ Forcing with matrices of countable elementary submodels

Cites Work

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• Set theory. An introduction to independence proofs
• Reflecting stationary sets and successors of singular cardinals
• Forcing \(\square_{\omega_1}\) with finite conditions
• Adding many Baumgartner clubs
• Two applications of finite side conditions at \(\omega _2\)
• Forcing with sequences of models of two types
• On forcing without the continuum hypothesis
• Reflecting stationary sets
• Coherent adequate sets and forcing square
• Introduction to set theory. The set theory of Georg Cantor and its axiomatization by Ernst Zermelo

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